Tootfinder

Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids
Eric Katz
https://arxiv.org/abs/2508.08391 https://arxiv.org/pdf/2508.08…

Volume Polynomials and Log-concavity of the Characteristic Polynomials of Matroids
The Rota--Heron--Welsh conjecture (now a theorem of Adiprasito, Huh, and the author) asserts the log-concavity of the characteristic polynomial of matroids. We give an exposition of the Lorentzian polynomial proof following the work of Branden and Leake aimed at undergraduate and beginning graduate students.

AgriVLN: Vision-and-Language Navigation for Agricultural Robots
Xiaobei Zhao, Xingqi Lyu, Xiang Li
https://arxiv.org/abs/2508.07406 https://arxiv.org/pdf/2…

AgriVLN: Vision-and-Language Navigation for Agricultural Robots
Agricultural robots have emerged as powerful members in agricultural tasks, nevertheless, still heavily rely on manual operation or untransportable railway for movement, resulting in limited mobility and poor adaptability. Vision-and-Language Navigation (VLN) enables robots to navigate to the target destinations following natural language instructions, demonstrating strong performance on several domains. However, none of the existing benchmarks or methods is specifically designed for agricultur…

On the dichotomy of $p$-walk dimensions on metric measure spaces
Meng Yang
https://arxiv.org/abs/2509.08641 https://arxiv.org/pdf/2509.08641

On the dichotomy of $p$-walk dimensions on metric measure spaces
On a volume doubling metric measure space endowed with a family of $p$-energies such that the Poincaré inequality and the cutoff Sobolev inequality with $p$-walk dimension $β_p$ hold, for $p$ in an open interval $I\subseteq (1,+\infty)$, we prove the following dichotomy: either $β_p=p$ for all $p\in I$, or $β_p>p$ for all $p\in I$.

KI-generierte Zusammenfassung von Google führt zu Gerüchten:
Vor knapp einer Woche war unser Leitungswasser wegen einer mikrobiologischen Verschmutzung nicht trinkbar. Die Bevölkerung wurde dazu aufgerufen, das Wasser abzukochen.
Nun gehen in lokalen Chats Screenshots rum, die behaupten, es wären PFAS gewesen. Die Google KI-Zusammenfassung spinnt das wohl aus einem Zeitungsartikel zusammen, in dem nebenbei über vergangene PFAS-Verunreinigungen berichtet wurde

Weak-strong uniqueness for general cross-diffusion systems with volume filling
Maria Heitzinger, Ansgar J\"ungel
https://arxiv.org/abs/2509.25978 https://

Weak-strong uniqueness for general cross-diffusion systems with volume filling
The weak-strong uniqueness of solutions to a broad class of cross-diffusion systems with volume filling is established. In general, the diffusion matrices are neither symmetric nor positive definite. This issue is overcome by supposing that the equations possess a Boltzmann-type entropy structure, which ensures the existence of bounded weak solutions. In this framework, general conditions on the mobility matrix are identified that allow for the proof of the weak-strong uniqueness property by me…

1,000 Swiss glaciers already gone, and the melting is speeding up #Switzerland

1,000 Swiss glaciers already gone, and the melting is speeding up
Swiss glaciers lost nearly 3% of their volume in 2025, following a snow-poor winter and scorching summer heatwaves. The melt has been so extreme that some glaciers lost more than two meters of ice thickness in a single season. Scientists caution that the decline is destabilizing mountains, raising risks of rock and ice avalanches. Long-term monitoring efforts are now more critical than ever.

Effect of crystallographic texture on dealloying kinetics and composition of nanoporous gold surface
Ezgi Hatipo\u{g}lu, Ayman A. El-Zoka, Yujun Zhao, Stanislav Mr\'az, Jochen M. Schneider, Baptiste Gault, Aparna Saksena
https://arxiv.org/abs/2510.05970

Effect of crystallographic texture on dealloying kinetics and composition of nanoporous gold surface
Nanoporous metals allow for tailoring composition and surface-to-volume ratio, both aspects critical for applications in catalysis. Here, Ag70Au30 (2 at. %) films with a face-centered cubic structure were deposited at 400°C, either {111}-textured or randomly oriented. Upon chemical dealloying, atom probe tomography of the nanoporous structure reveals that the textured film retains a up to 2.7 times higher Ag concentration within the ligaments compared to the randomly oriented film that exhibit…

T-araVLN: Translator for Agricultural Robotic Agents on Vision-and-Language Navigation
Xiaobei Zhao, Xingqi Lyu, Xiang Li
https://arxiv.org/abs/2509.06644 https://

T-araVLN: Translator for Agricultural Robotic Agents on Vision-and-Language Navigation
Agricultural robotic agents have been becoming powerful helpers in a wide range of agricultural tasks, nevertheless, still heavily rely on manual operation or untransportable railway for movement. The AgriVLN method and the A2A benchmark pioneeringly extend Vision-and-Language Navigation (VLN) to the agricultural domain, enabling agents navigate to the target position following the natural language instructions. AgriVLN effectively understands the simple instructions, however, often misundersta…

A New Approach to the Glass Transition of Percolated Polymers from the Perspective of Thermal Volume Expansion
Jan-Kristian Kr\"uger, Bernd Wetzel, Andreas Klingler
https://arxiv.org/abs/2509.03174

A New Approach to the Glass Transition of Percolated Polymers from the Perspective of Thermal Volume Expansion
In 1995, the Nobel Price winner P.W. Anderson made the following remarkable statement: The deepest and most interesting unsolved problem in solid state theory is probably the theory of the nature of glass and glass transition. Although there have been new theoretical developments in the meantime, in our opinion, this situation has only improved marginally to date. One of the main reasons is the insufficient consideration of experimental boundary conditions. A central experimental problem arises…

PRISM: Robust VLM Alignment with Principled Reasoning for Integrated Safety in Multimodality
Nanxi Li, Zhengyue Zhao, Chaowei Xiao
https://arxiv.org/abs/2508.18649 https://

PRISM: Robust VLM Alignment with Principled Reasoning for Integrated Safety in Multimodality
Safeguarding vision-language models (VLMs) is a critical challenge, as existing methods often suffer from over-defense, which harms utility, or rely on shallow alignment, failing to detect complex threats that require deep reasoning. To this end, we introduce PRISM (Principled Reasoning for Integrated Safety in Multimodality), a system2-like framework that aligns VLMs by embedding a structured, safety-aware reasoning process. Our framework consists of two key components: PRISM-CoT, a dataset th…